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A Riemannian Genuine Measure of Entanglement for Pure States

2022/11/11 by Ramachandran, Dharmaraj, Radhika Vathsan, Vathsan, Radhika
Physics and Astronomy · Computer Science · #Quantum Mechanics and Applications #Quantum Information and Cryptography

paper · pdf · doi:10.48550/arxiv.2211.06309

Abstract

While several measures exist for entanglement of multipartite pure states, a true entanglement measure for mixed states still eludes us. A deeper study of the geometry of quantum states may be the way to address this issue, on which context we come up with a measure for pure states based on a geodesic distance on the space of quantum states. Our measure satisfies all the desirable properties of a ``Genuine Measure of Entanglement" (GME), and in comparison with some of the other existing measures, shows better smoothness and discriminance.

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